Nomenclature:
ap: Surface area of the adsorbent particle (1/m)
Ci : Concentration of component i in the gas phase
(kmol/m3)
Cpg: Heat capacity of the gas (kJ/kg/K)
Cpp: Heat capacity of the adsorbent particle (kJ/kg/K)
Cpw: Heat capacity of the wall (kJ/kg/K)
Ct : Total concentration of component i in the gas
phase(kmol/m3)
CF: Correction factor
Dj,i : Molecular diffusivity of j in i
(m2/s)
Dp,i: Pore diffusivity of component i
(m2/s)
Dk,i: Knudsen diffusivity of component i
(m2/s)
Dm,i: Molecular diffusivity of component i in the
mixture (m2/s)
Dz,i: Effective axial dispersion coefficient of
component i (m2/s)
dp: Adsorbent particle diameter (m)
din/dout:Inner diameter/ outer diameter
(m)
F1: Molar flow rate of the inlet stream
hi: Heat transfer coefficient in gas phase
(W/m2/K)
hw: Heat transfer coefficient between wall and bed
(W/m2/K)
h2: Enthalpy of the exit stream corresponding to the
inlet entropy
h1: Enthalpy of the inlet stream
IPi: Langmuir adsorption parameters
Kax: Effective axial thermal conductivity (W/m/K)
Kg: Thermal conductivity of the gas mixture (W/m/K)
Ki: Overall mass transfer coefficient of component i
(1/s)
Kf,i: Outer mass transfer coefficient of component i
(m/s)
k: Boltzmann constant
Mi ,Mj: Molecular weights for i and j
(kg/kmol)
MW: Molecular weight of the gas
n: volume exponent
P or Pi: Pressure (kPa)
P1: Pressure of the inlet stream
P2: Pressure of the exit stream
Pr: Prandtl number
qi: Concentration of component i in the particle
(kmol/kg)
qi*: Equilibrium concentration of component i in the
particle (kmol/kg)
qe: Adsorbed amount of water on adsorbent (mol/g)
Re: Reynolds number
rp: Adsorbent particle radius (m)
Sc: Schmidt number
Sh: Sherwood number
T: Temperature (K)
Ts/Tp: Adsorbent particle temperature
(K)
Tw: Wall temperature (K)
t: Time (s)
U: Interstitial velocity (m/s)
W:Polytropic power for blower (kJ/h)
wi: Loading of the adsorbed component over the maximum
loading
yi: Mole fraction of component i
z: Bed length (m)
εp: Particle porosity
εb: Bed porosity
εi, j: Molecular attraction energy
ρg: Gas phase density (kg/m3)
ρp: Particle density (kg/m3)
ρ1:Density of the inlet stream
ρ2:Density of the exit stream
µ: Gas viscosity (kg/m/s)
: Mean distance between molecules (°A)
: Tortuosity factor
: Molecular collision function
: Heat of adsorption of component i(J/mol)